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JSCIC
2011
46views more  JSCIC 2011»
13 years 3 months ago
On the Advantage of Well-Balanced Schemes for Moving-Water Equilibria of the Shallow Water Equations
This note aims at demonstrating the advantage of moving-water well-balanced schemes over still-water well-balanced schemes for the shallow water equations. We concentrate on numer...
Yulong Xing, Chi-Wang Shu, Sebastian Noelle
VC
2010
217views more  VC 2010»
13 years 10 months ago
Solving the Shallow Water equations using 2D SPH particles for interactive applications
In this paper, we introduce a 2D particle-based approach to achieve realistic water surface behaviors for interactive applications. We formulate 2D particle-based Shallow Water equ...
Hyokwang Lee, Soonhung Han
SIAMSC
2010
144views more  SIAMSC 2010»
13 years 11 months ago
A Fully Implicit Domain Decomposition Algorithm for Shallow Water Equations on the Cubed-Sphere
Abstract. Popular approaches for solving the shallow water equations (SWE) for climate modeling are explicit and semi-implicit methods, both have certain constraints on the time st...
Chao Yang, Jianwen Cao, Xiao-Chuan Cai
JSCIC
2008
134views more  JSCIC 2008»
14 years 13 days ago
Discontinuous Hamiltonian Finite Element Method for Linear Hyperbolic Systems
Abstract We develop a Hamiltonian discontinuous finite element discretization of a generalized Hamiltonian system for linear hyperbolic systems, which include the rotating shallow ...
Yan Xu, Jaap J. W. van der Vegt, Onno Bokhove
APPML
2010
88views more  APPML 2010»
14 years 18 days ago
Evolution of weak discontinuities in shallow water equations
In this paper, we determine the critical time, when a weak discontinuity in the shallow water equations culminates into a bore. Invariance group properties of the governing system...
T. Raja Sekhar, V. D. Sharma
AES
2007
Springer
75views Cryptology» more  AES 2007»
14 years 18 days ago
Improved FVM for two-layer shallow-water models: Application to the Strait of Gibraltar
This paper deals with the numerical simulation of flows of stratified fluids through channels with irregular geometry. Channel crosssections are supposed to be symmetric but no...
Manuel Jose Castro Díaz, José A. Gar...
ICCS
2009
Springer
14 years 7 months ago
A Parallel High-Order Discontinuous Galerkin Shallow Water Model
The depth-integrated shallow water equations are frequently used for simulating geophysical flows, such as storm-surges, tsunamis and river flooding. In this paper a parallel sha...
Claes Eskilsson, Yaakoub El Khamra, David Rideout,...